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Finding the Third Proportional to 109,269,853,388 and 243,664,387,207

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Solution

The third proportional to 109,269,853,388 and 243,664,387,207 is: 543,355,113,529.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,269,853,388 : 243,664,387,207 = 243,664,387,207 : x
  2. Step 2: Convert to fraction form
    109,269,853,388/243,664,387,207 = 243,664,387,207/x
  3. Step 3: Cross multiply
    109,269,853,388x = 243,664,387,207 × 243,664,387,207
  4. Step 4: Simplify right side
    109,269,853,388x = 59,372,333,592,962,825,977,856
  5. Step 5: Solve for x
    x = 59,372,333,592,962,825,977,856/109,269,853,388
  6. Step 6: Final answer
    x = 543,355,113,529.26

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.